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math.PR2026
Law of large numbers for stochastic multiscale spatial gene networks
Arnaud Debussche, Baptiste Huguet
We study a stochastic multiscale spatial gene network. These naturally arise in molecular biology. In our model, the reactants are subject to on-site reactions on both scales and d…
math.PR2024
Rough analysis of two scale systems
Arnaud Debussche, Martina Hofmanová
We address a slow-fast system of coupled three dimensional Navier--Stokes equations where the fast component is perturbed by an additive Brownian noise. By means of the rough path…